Question

What value of x makes this equation true?



`2x+9-4x=x-12`



Hint: You can either solve for x (isolate the variable), or you can plug each of the values below in for each x in the equation and simplify to see which

Answer 1

To solve the equation \( 2x + 9 - 4x = x - 12 \), we can first combine like terms.

1. Combine the terms on the left side:
\[
2x - 4x + 9 = x - 12
\]
\[
-2x + 9 = x - 12
\]

2. Next, let's isolate \( x \). We can first add \( 2x \) to both sides:
\[
9 = x + 2x - 12
\]
\[
9 = 3x - 12
\]

3. Now, add \( 12 \) to both sides:
\[
9 + 12 = 3x
\]
\[
21 = 3x
\]

4. Finally, divide by \( 3 \):
\[
x = \frac{21}{3}
\]
\[
x = 7
\]

So the value of \( x \) that makes the equation true is \( \boxed{7} \).